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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=-1/2





http://functions.wolfram.com/07.22.03.8192.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(1/2), -(17/4)}, z] == (1/(98903025 Sqrt[2])) (z^(1/4) ((98903025 - 69813900 z - 807693120 z^2 - 398658560 z^3 - 95305728 z^4 - 25952256 z^5 + 2097152 z^6) BesselI[-(1/4), Sqrt[z]]^2 - 4 Sqrt[z] (98903025 - 148936320 z - 59677440 z^2 - 13500416 z^3 - 3080192 z^4 + 262144 z^5) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 4 z (98903025 + 238316400 z + 107190528 z^2 + 25243648 z^3 + 6356992 z^4 - 524288 z^5) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02